Answer:
Perimeter of the rectangle = 96 meters.
Step-by-step explanation:
Let the width of the rectangle = K
So, the length of the rectangle = 5K
Area = 320 sq meters
Now, Area of a Rectangle = Length x Width
⇒ 320 = K x 5K
or,[tex]5K^{2} = 320\\or, K^{2} = \frac{320}{5} = 64[/tex]
So, the vlue of K = 8 or, K = -8
But as K represents a length hence, K ≠ -8
So, the width of the rectangle = 8 meters
and the length of the rectangle = 8 x 5 = 40 meters
Now, Perimeter = 2(length + width)
= 2(8 + 40) = 96 meters.
So, the perimeter of the rectangle = 96 meters.
